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146421270 = 23451631109
BaseRepresentation
bin10001011101000…
…11011000010110
3101012111222020000
420232203120112
5244440440040
622310152130
73425363112
oct1056433026
9335458200
10146421270
1175718516
1241052646
1324448008
1415636742
15ccc4130
hex8ba3616

146421270 has 80 divisors (see below), whose sum is σ = 396483120. Its totient is φ = 38771136.

The previous prime is 146421269. The next prime is 146421271. The reversal of 146421270 is 72124641.

146421270 is a `hidden beast` number, since 1 + 4 + 642 + 12 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146421269) and next prime (146421271).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146421271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131476 + ... + 132584.

It is an arithmetic number, because the mean of its divisors is an integer number (4956039).

Almost surely, 2146421270 is an apocalyptic number.

146421270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146421270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198241560).

146421270 is an abundant number, since it is smaller than the sum of its proper divisors (250061850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146421270 is a wasteful number, since it uses less digits than its factorization.

146421270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 146421270 is about 12100.4656935177. The cubic root of 146421270 is about 527.0697074215.

The spelling of 146421270 in words is "one hundred forty-six million, four hundred twenty-one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 163 270 326 405 489 810 815 978 1109 1467 1630 2218 2445 2934 3327 4401 4890 5545 6654 7335 8802 9981 11090 13203 14670 16635 19962 22005 26406 29943 33270 44010 49905 59886 66015 89829 99810 132030 149715 179658 180767 299430 361534 449145 542301 898290 903835 1084602 1626903 1807670 2711505 3253806 4880709 5423010 8134515 9761418 14642127 16269030 24403545 29284254 48807090 73210635 146421270